I need help with interacting pets

Hello, I made a website long ago called Monzone, but it has webs pre-domain in it, though. It is a adoptable website, but all I can offer is where people can copy the code and enter the code in their profile by themselves. I was wondering how to make a pet interactive where people can just click on the pet and it'll automatically go into their account?

The picture is the example of a pet from my website that I made.